期刊
SIAM JOURNAL ON MATHEMATICAL ANALYSIS
卷 31, 期 4, 页码 909-924出版社
SIAM PUBLICATIONS
DOI: 10.1137/S0036141098348176
关键词
nonlocal variational problems; Gamma-convergence; isolated local minima; BV functions
We study two nonlocal variational problems in this paper. One models microphase separation of diblock copolymers and the other models solid-solid phase transformations that lead to ne structures. We study a parameter range where the problems can be approximated by their asymptotic limits. We nd all the local minimum solutions of the limiting problems. Because these local minima are isolated, and hence stable under perturbation, near them there exist local minimum solutions of the original problems.
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